名词
中文翻译：真实李群
同义词：
['real Lie algebra', 'real Lie algebraic group']
例句：
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1. Inmathematics, the real Lie group is a type of group that includes all continuous functions on a real number field.
在数学中，实李群是一类包含所有连续函数的群组，这些函数作用于实数域。
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2.The real Lie group is used in many areas of physics, including quantum mechanics and relativity theory.
实李群在物理学的许多领域都有应用，包括量子力学和相对论理论。
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3.The real Lie group plays a crucial role in the study of topological properties of manifolds.
实李群在研究流形拓扑性质方面起着至关重要的作用。